Hello sir please help me for solving the problem of class 9th ncert math of Polynomials chapter of exercise 2.4, give me the best way for solving this question i think is it an important question for class 9th Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:(ii) p(x)=x3+3×2+3x+1, g(x) = x+2

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# Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:(ii) p(x)=x3+3×2+3x+1, g(x) = x+2 Q.2(2)

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p(x) = x

^{3}+3x^{2}+3x+1, g(x) = x+2g(x) = 0

⇒ x+2 = 0

⇒ x = −2

∴ Zero of g(x) is -2.

Now,

p(−2) = (−2)

^{3}+3(−2)^{2}+3(−2)+1= −8+12−6+1

= −1 ≠ 0

∴By factor theorem, g(x) is not a factor of p(x).